1375221540672 has 756 divisors, whose sum is σ = 5019667380000. Its totient is φ = 372165954048.

The previous prime is 1375221540661. The next prime is 1375221540689. The reversal of 1375221540672 is 2760451225731.

1375221540672 is a `hidden beast` number, since 1 + 3 + 7 + 522 + 1 + 54 + 0 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×1375221540672³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 275096829 + ... + 275101827.

Almost surely, 2^{1375221540672} is an apocalyptic number.

1375221540672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1375221540672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509833690000).

1375221540672 is an abundant number, since it is smaller than the sum of its proper divisors (3644445839328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1375221540672 is an equidigital number, since it uses as much as digits as its factorization.

1375221540672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5078 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 1375221540672 in words is "one trillion, three hundred seventy-five billion, two hundred twenty-one million, five hundred forty thousand, six hundred seventy-two".